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Finding the Fourth Proportional to 195,537.96, 269,842.37 and 106,113.96

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Solution

The fourth proportional to 195,537.96, 269,842.37 and 106,113.96 is: 146,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,537.96 : 269,842.37 = 106,113.96 : x
  2. Step 2: Convert to fraction form
    195,537.96/269,842.37 = 106,113.96/x
  3. Step 3: Cross multiply
    195,537.96x = 269,842.37 × 106,113.96
  4. Step 4: Simplify right side
    195,537.96x = 28,634,041,925.92
  5. Step 5: Solve for x
    x = 28,634,041,925.92/195,537.96
  6. Step 6: Final answer
    x = 146,437.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.